Second order Sobolev regularity for p-harmonic functions in SU(3)

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dc.contributor.authorYu, Chengwei
dc.date.accessioned2023-04-17T17:37:20Z
dc.date.available2023-04-17T17:37:20Z
dc.date.issued2022-04-06
dc.description.abstractLet u be a weak solution to the degenerate subelliptic p-Laplacian equation ΔH,p u(x) = 6∑i=1 Xi(∇Hu|p-2 Xiu) = 0, where H is the orthogonal complement of a Cartan subalgebra in SU(3) and its orthonormal basis is composed of the vector fields X1,...,X6. We prove that when 1 < p < 7/2, the solution u has the second order horizontal Sobolev W2,2, H,loc-regularity.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationYu, C. (2022). Second order Sobolev regularity for p-harmonic functions in SU(3). Electronic Journal of Differential Equations, 2022(27), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16586
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectp-Laplacian equation
dc.subjectSU(3)
dc.subjectW2,2 h,loc-regularity
dc.subjectHessian matrix
dc.subjectp-Harmonic function
dc.titleSecond order Sobolev regularity for p-harmonic functions in SU(3)
dc.typeArticle

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